A student drove to the university from her home and noted that the odometer reading of her car increased by 7 miles. The trip took 20 min. (Note: 1 mile = 1.6 km). If the straight-line distance from her home to the university is 10 km, and the university is directly south of her home, what is the vector of her average velocity?

Vector of the average velocity = 3.33 km\hr towards south.

Explanation:

Given:

Distance covered by the student = miles = km

Total displacement = km in

Total time taken = mins = hr

Note:

Odometer reading is the distance covered while straight-line distance is the displacement which is the shortest route.

Distance is scaler where as displacement is a vector quantity.

Scaler has only magnitude while vector has magnitude and direction.

We have to find the average velocity.

Average velocity = Ratio of total displacement and total time.

⇒ Average velocity () =

⇒ Plugging the values.

⇒ () =

⇒ () = km\hr

So the vector of the average velocity = 3.33 km\hr towards south.

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